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|
if not modules then modules = { } end modules ['back-exp-imp-mth'] = {
version = 1.001,
comment = "companion to back-exp.mkiv",
author = "Hans Hagen, PRAGMA-ADE, Hasselt NL",
copyright = "PRAGMA ADE / ConTeXt Development Team",
license = "see context related readme files"
}
local sub = string.sub
local utfchar, utfvalues = utf.char, utf.values
local setmetatableindex, concat = table.setmetatableindex, table.concat
local structurestags = structures.tags
local specifications = structurestags.specifications
local locatedtag = structurestags.locatedtag
local backend = structurestags.backend
local setattribute = backend.setattribute
local extras = backend.extras
local checks = backend.checks
local finalizers = backend.finalizers
----- bpfactor = number.dimenfactors.bp
----- f_points = string.formatters["%p"]
local f_em = string.formatters["%.6Nem"]
local implement = interfaces.implement
do
local automathrows = true directives.register("export.math.autorows", function(v) automathrows = v end)
local automathapply = true directives.register("export.math.autoapply", function(v) automathapply = v end)
local automathnumber = true directives.register("export.math.autonumber", function(v) automathnumber = v end)
local automathstrip = true directives.register("export.math.autostrip", function(v) automathstrip = v end)
local functions = mathematics.categories.functions
local function collapse(di,i,data,ndata,detail,element)
local collapsing = di.data
if data then
di.element = element
di.detail = nil
i = i + 1
while i <= ndata do
local dn = data[i]
if dn.detail == detail then
collapsing[#collapsing+1] = dn.data[1]
dn.skip = "ignore"
i = i + 1
else
break
end
end
end
return i
end
local function collapse_mn(di,i,data,ndata)
-- this is tricky ... we need to make sure that we wrap in mrows if we want
-- to bypass this one
local collapsing = di.data
if data then
i = i + 1
while i <= ndata do
local dn = data[i]
local tg = dn.tg
if tg == "mn" then
collapsing[#collapsing+1] = dn.data[1]
dn.skip = "ignore"
i = i + 1
elseif tg == "mo" then
local d = dn.data[1]
if d == "." then
collapsing[#collapsing+1] = d
dn.skip = "ignore"
i = i + 1
else
break
end
else
break
end
end
end
return i
end
-- maybe delay __i__ till we need it
local apply_function = {
{
element = "mo",
-- comment = "apply function",
-- data = { utfchar(0x2061) },
data = { "⁡" },
nature = "mixed",
}
}
local functioncontent = { }
setmetatableindex(functioncontent,function(t,k)
local v = { { content = k } }
t[k] = v
return v
end)
local dummy_nucleus = {
element = "mtext",
data = { content = "" },
nature = "inline",
comment = "dummy nucleus",
fulltag = "mtext>0"
}
local function accentchar(d)
for i=1,3 do
d = d.data
if not d then
return
end
d = d[1]
if not d then
return
end
local tg = d.tg
if tg == "mover" then
local s = specifications[d.fulltag]
local t = s.top
if t then
d = d.data[1]
local d1 = d.data[1]
d1.content = utfchar(t)
d.data = { d1 }
return d
end
elseif tg == "munder" then
local s = specifications[d.fulltag]
local b = s.bottom
if b then
d = d.data[1]
local d1 = d.data[1]
d1.content = utfchar(b)
d.data = { d1 }
return d
end
end
end
end
local no_mrow = {
mrow = true,
mfenced = true,
mfrac = true,
mroot = true,
msqrt = true,
mtable = true,
mi = true,
mo = true,
mn = true,
mspace = true,
}
local function checkmath(root) -- we can provide utf.toentities as an option
local data = root.data
if data then
local ndata = #data
local roottg = root.tg
if roottg == "msubsup" then
-- kind of tricky: we have a diufferent order in display mode
local nucleus, superscript, subscript
if ndata > 3 then
-- error
else
for i=1,ndata do
local di = data[i]
if not di then
-- weird
elseif di.content then
-- text
else
local s = specifications[di.fulltag]
if s.subscript then
subscript = i
elseif s.superscript then
superscript = i
else
nucleus = i
end
end
end
if superscript or subscript then
-- we probably always have 3 anyway ... needs checking
local nuc = nucleus and data[nucleus]
local sub = subscript and data[subscript]
local sup = superscript and data[superscript]
local n = 0 -- play safe
if nuc then n = n + 1 ; data[n] = nuc end
if sub then n = n + 1 ; data[n] = sub end
if sup then n = n + 1 ; data[n] = sup end
end
end
-- elseif roottg == "msup" or roottg == "msub" then
-- -- m$^2$
-- if ndata == 1 then
-- local d = data[1]
-- data[2] = d
-- d.__i__ = 2
-- data[1] = dummy_nucleus
-- end
elseif roottg == "mfenced" then
local s = specifications[root.fulltag]
local l, m, r = s.left, s.middle, s.right
if l then
l = utfchar(l)
end
if m then
local t = { }
for i=1,#m do
t[i] = utfchar(m[i])
end
m = concat(t)
end
if r then
r = utfchar(r)
end
root.attributes = {
open = l,
separators = m,
close = r,
}
end
if ndata == 0 then
root.skip = "comment" -- get rid of weird artefacts
root.nota = "weird"
return
elseif ndata == 1 then
local d = data[1]
if not d or d == "" then
root.skip = "comment"
return
elseif d.content then
return
else -- if ndata == 1 then
local tg = d.tg
if automathrows and (roottg == "mrow" or roottg == "mtext") then
-- maybe just always ! check spec first
-- or we can have chesks.* for each as we then can flatten
if no_mrow[tg] then
root.skip = "comment"
end
elseif roottg == "mo" then
if tg == "mo" then
root.skip = "comment"
end
end
end
end
local i = 1
while i <= ndata do -- -- -- TOO MUCH NESTED CHECKING -- -- --
local di = data[i]
if di and not di.content then
local tg = di.tg
if tg == "math" then
-- di.element = "mrow" -- when properties
di.skip = "comment"
checkmath(di)
i = i + 1
elseif tg == "mover" then
local s = specifications[di.fulltag]
if s.accent then
local t = s.top
local d = di.data
-- todo: accent = "false" (for scripts like limits)
di.attributes = {
accent = "true",
}
-- todo: p.topfixed
if t then
-- mover
d[1].data[1].content = utfchar(t)
di.data = { d[2], d[1] }
end
else
-- can't happen
end
checkmath(di)
i = i + 1
elseif tg == "munder" then
local s = specifications[di.fulltag]
if s.accent then
local b = s.bottom
local d = di.data
-- todo: accent = "false" (for scripts like limits)
di.attributes = {
accent = "true",
}
-- todo: p.bottomfixed
if b then
-- munder
d[2].data[1].content = utfchar(b)
end
else
-- can't happen
end
checkmath(di)
i = i + 1
elseif tg == "munderover" then
local s = specifications[di.fulltag]
if s.accent then
local t = s.top
local b = s.bottom
local d = di.data
-- todo: accent = "false" (for scripts like limits)
-- todo: accentunder = "false" (for scripts like limits)
di.attributes = {
accent = "true",
accentunder = "true",
}
-- todo: p.topfixed
-- todo: p.bottomfixed
if t and b then
-- munderover
d[1].data[1].content = utfchar(t)
d[3].data[1].content = utfchar(b)
di.data = { d[2], d[3], d[1] }
else
-- can't happen
end
else
-- can't happen
end
checkmath(di)
i = i + 1
elseif tg == "mstacker" then
local d = di.data
local d1 = d[1]
local d2 = d[2]
local d3 = d[3]
local t1 = d1 and d1.tg
local t2 = d2 and d2.tg
local t3 = d3 and d3.tg
local m = nil -- d1.data[1]
local t = nil
local b = nil
-- only accent when top / bot have stretch
-- normally we flush [base under over] which is better for tagged pdf
if t1 == "mstackermid" then
m = accentchar(d1) -- or m
if t2 == "mstackertop" then
if t3 == "mstackerbot" then
t = accentchar(d2)
b = accentchar(d3)
di.element = "munderover"
di.data = { m or d1.data[1], b or d3.data[1], t or d2.data[1] }
else
t = accentchar(d2)
di.element = "mover"
di.data = { m or d1.data[1], t or d2.data[1] }
end
elseif t2 == "mstackerbot" then
if t3 == "mstackertop" then
b = accentchar(d2)
t = accentchar(d3)
di.element = "munderover"
di.data = { m or d1.data[1], t or d3.data[1], m, b or d2.data[1] }
else
b = accentchar(d2)
di.element = "munder"
di.data = { m or d1.data[1], b or d2.data[1] }
end
else
-- can't happen
end
else
-- can't happen
end
if t or b then
di.attributes = {
accent = t and "true" or nil,
accentunder = b and "true" or nil,
}
di.detail = nil
end
checkmath(di)
i = i + 1
elseif tg == "mroot" then
local data = di.data
local size = #data
if size == 1 then
-- else firefox complains ... code in math-tag (for pdf tagging)
di.element = "msqrt"
elseif size == 2 then
data[1], data[2] = data[2], data[1]
end
checkmath(di)
i = i + 1
elseif tg == "break" then
di.skip = "comment"
i = i + 1
elseif tg == "mspace" then
-- di.empty = true
local s = specifications[di.fulltag]
local e = s and s.emfactor
if e and e ~= 0 then
di.element = "mspace"
di.attributes = {
width = f_em(e),
}
end
i = i + 1
elseif tg == "mtext" then
-- this is only needed for unboxed mtexts ... all kind of special
-- tex border cases and optimizations ... trial and error
local data = di.data
if #data > 1 then
for i=1,#data do
local di = data[i]
local content = di.content
if content then
data[i] = {
element = "mtext",
nature = "inline",
data = { di },
n = 0,
}
elseif di.tg == "math" then
local di = di.data[1]
if di then
data[i] = di
checkmath(di)
end
end
end
di.element = "mrow"
-- di.tg = "mrow"
-- di.nature = "inline"
end
checkmath(di)
i = i + 1
elseif tg == "mrow" and detail then -- hm, falls through
di.detail = nil
checkmath(di)
di = {
element = "maction",
nature = "display",
attributes = { actiontype = detail },
data = { di },
n = 0,
}
data[i] = di
i = i + 1
else
local category = di.mathcategory
if category then
-- no checkmath(di) here
if category == 1 then -- mo
i = collapse(di,i,data,ndata,detail,"mo")
elseif category == 2 then -- mi
i = collapse(di,i,data,ndata,detail,"mi")
elseif category == 3 then -- mn
i = collapse(di,i,data,ndata,detail,"mn")
elseif category == 4 then -- ms
i = collapse(di,i,data,ndata,detail,"ms")
elseif category >= 1000 then
local apply = category >= 2000
if apply then
category = category - 1000
end
if tg == "mi" then -- function
if roottg == "mrow" then
root.skip = "comment"
root.element = "function"
end
i = collapse(di,i,data,ndata,detail,"mi")
local tag = functions[category]
if tag then
di.data = functioncontent[tag]
end
if apply then
di.after = apply_function
elseif automathapply then -- make function
local following
if i <= ndata then
-- normally not the case
following = data[i]
else
local parent = di.__p__ -- == root
if parent.tg == "mrow" then
parent = parent.__p__
end
local index = parent.__i__
following = parent.data[index+1]
end
if following then
local tg = following.tg
if tg == "mrow" or tg == "mfenced" then -- we need to figure out the right condition
di.after = apply_function
end
end
end
else -- some problem
checkmath(di)
i = i + 1
end
else
checkmath(di)
i = i + 1
end
elseif automathnumber and tg == "mn" then
checkmath(di)
i = collapse_mn(di,i,data,ndata)
else
checkmath(di)
i = i + 1
end
end
else -- can be string or boolean
if parenttg ~= "mtext" and di == " " then
data[i] = false
end
i = i + 1
end
end
end
end
local function stripmath(di)
if not di then
--
elseif di.content then
return di
else
local tg = di.tg
if tg == "mtext" or tg == "ms" then
return di
elseif tg == "mspace" then
return di
else
local data = di.data
local ndata = #data
local n = 0
for i=1,ndata do
local d = data[i]
if d and not d.content then
d = stripmath(d)
end
if d then
local content = d.content
if d.tg == "mspace" then
n = n + 1
data[n] = d
d.data = { }
elseif not content then
-- if not content then
n = n + 1
d.__i__ = n
data[n] = d
-- elseif content == " " or content == "" then
-- if d.tg == "mspace" then
-- -- we append or prepend a space to a preceding or following mtext
-- local parent = di.__p__
-- local index = di.__i__ -- == i
-- local data = parent.data
-- if index > 1 then
-- local d = data[index-1]
-- if d.tg == "mtext" then
-- local dd = d.data
-- local dn = dd[#dd]
-- local dc = dn.content
-- if dc then
-- dn.content = dc .. content
-- end
-- end
-- elseif index < ndata then
-- local d = data[index+1]
-- if d.tg == "mtext" then
-- local dd = d.data
-- local dn = dd[1]
-- local dc = dn.content
-- if dc then
-- dn.content = content .. dc
-- end
-- end
-- end
-- end
else
n = n + 1
data[n] = d
end
end
end
for i=ndata,n+1,-1 do
data[i] = nil
end
if #data > 0 then
return di
end
end
end
end
function checks.math(di)
if di.skip == "comment" then
-- already done, kind of weird, happens in mathmatrix, maybe some collapse
-- issue that i need to look into
else
local specification = specifications[di.fulltag]
local mode = specification and specification.mode == "display" and "block" or "inline"
di.attributes = {
["display"] = mode,
["xmlns:m"] = mathmlns,
}
-- can be option if needed:
if mode == "inline" then
-- di.nature = "mixed" -- else spacing problem (maybe inline)
di.nature = "inline" -- we need to catch x$X$x and x $X$ x
else
di.nature = "display"
end
if automathstrip then
stripmath(di)
end
checkmath(di)
end
end
-- this one can replace some of the previous code .. todo (test on mathmatrix)
-- ignore with no data can be removed
local function checked(d)
local n = #d
if n == 1 then
local di = d[1]
local tg = di.tg
if tg == "ignore" then
-- todo: we can move ignore's data one level up
return 1
elseif di.content then
return 1
else
local dd = di.data
if #dd > 0 and checked(dd) > 0 then
return 1
else
return 0
end
end
else
local m = 0
for i=1,n do
local di = d[i]
local tg = di.tg
if tg == "ignore" then
-- skip
elseif di.content then
m = m + 1
d[m] = di
else
local dd = di.data
if #dd > 0 and checked(dd) > 0 then
m = m + 1
d[m] = di
end
end
end
if m < n then
for i=n,m+1,-1 do
d[i] = nil
end
end
return m
end
end
function checks.mrow(di)
-- local d = di.data
-- if d then
-- checked(d)
-- end
end
-- we can move more checks here
local function flatten(di)
local r = di.__p__
while r do
local d = r.data
local n = #d
if d and n > 1 then
n = checked(d)
end
local tg = r.tg
if n == 1 and (tg == "mtext" or tg == "mrow") then
r.skip = "comment" -- weird error
r = r.__p__
else
break
end
end
end
function checks.mtable(di)
flatten(di)
local d = di.data
for i=1,#d do
local d = d[i]
if d.tg == "mtr" then
local d = d.data
for i=1,#d do
local d = d[i]
if d.tg == "mtd" then
-- okay
elseif d.content then
d.content = ""
else
d.skip = "comment" -- weird error
end
end
elseif d.content then
d.content = ""
else
d.skip = "comment" -- weird error
end
end
end
do
local a, z, A, Z = 0x61, 0x7A, 0x41, 0x5A
function extras.mi(di,element,n,fulltag) -- check with content
local str = di.data[1].content
if str and sub(str,1,1) ~= "&" then -- hack but good enough (maybe gsub op eerste)
for v in utfvalues(str) do
if (v >= a and v <= z) or (v >= A and v <= Z) then
local a = di.attributes
if a then
a.mathvariant = "normal"
else
di.attributes = { mathvariant = "normal" }
end
end
end
end
end
end
function extras.msub(di,element,n,fulltag)
-- m$^2$
local data = di.data
if #data == 1 then
local d = data[1]
data[2] = d
d.__i__ = 2
data[1] = dummy_nucleus
end
end
extras.msup = extras.msub
end
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